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Finding the Fourth Proportional to 320,246.40, 480,542.40 and 133,276.80

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Solution

The fourth proportional to 320,246.40, 480,542.40 and 133,276.80 is: 199,987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,246.40 : 480,542.40 = 133,276.80 : x
  2. Step 2: Convert to fraction form
    320,246.40/480,542.40 = 133,276.80/x
  3. Step 3: Cross multiply
    320,246.40x = 480,542.40 × 133,276.80
  4. Step 4: Simplify right side
    320,246.40x = 64,045,153,336.32
  5. Step 5: Solve for x
    x = 64,045,153,336.32/320,246.40
  6. Step 6: Final answer
    x = 199,987.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.